Factorial - practice problems - page 3 of 7
The factorial of the number n is the product of the first n natural numbers. For example 6! (we read 6 factorial) is 1*2*3*4*5*6 = 720.
Direction: Solve each problem carefully and show your solution in each item.
Number of problems found: 127
- Guaranteed 37611
Determine how many different ways a Lotto ticket can be written if we guess six numbers out of 49. At what Jackpot would it already pay to bet so many tickets to be guaranteed to win the 1st prize? The price of one type is €1.
- Arranged 37131
Jane wants to organize 4 English and 3 Slovak books on the shelf to arrange first English and then Slovak books. How many ways can it do that?
- 6-digit 35541
How many 6-digit numbers can be created from the number 1,2,3,4,5,6 if we must not repeat the numbers?
- BRATISLAVA 35531
How many words can we make from all letters of the word BRATISLAVA?
- Round table
Eight people are sitting at a round table. In how many ways can they be seated around the table?
- Tournament 35441
Sixteen teams will compete in the hockey tournament. How many ways can a gold, silver, and bronze medal be awarded?
- Remainder 34441
Find the remainder after division when we divide the sum of 1! +2! +3! +. ... . +300! number 13.
- Wedding guests
Fifteen wedding guests could not agree on who would stand in the wedding photo. The groom suggested that all possible sets of wedding guests be made in the photographs.
- You have
You have four reindeer and want to have 3 fly your sleigh. You always have your reindeer fly in a single-file line. How many different ways can you arrange your reindeer?
- Coffe cups
We have 4 cups with four different patterns. How many possible combinations can we create from 4 cups?
- Wagons
We have six wagons: two white, two blue, and two red. We assemble trains from them; wagons of the same color are exactly the same, so if we change only two white wagons on a train, it's still the same train because I don't know any difference. How many di
- Positions 26151
How many positions are there to store three books on the shelf?
- Five letters
How many ways can five letters be arranged?
- Defective 22153
There are 11 products in the box, of which just four are defective. How many ways can we choose five products so that at least four are not faulty?
- Classmates 18173
Classmates Anka, Bea, Villa, and Danka can sit next to each other on the bus. What and how many ways can they sit down?
- Possible combinations - word
How many ways can the letters F, A, I, and R be arranged?
- Beads
How many ways can we thread four red, five blue, and six yellow beads onto a thread?
- Possibilities 8450
There are 11 pupils in the group, among them just one Martin. How many possibilities are there for distributing 4 different books to these pupils if each is to receive at most one and Martin just one of these books".
- Possibilities 8237
How many different possibilities exist for settling friends A, B, C, D, E, and F in six seats if A wants to sit next to C?
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